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Systems of Set Constraints with Negative Constraints are NEXPTIME-Complete

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A system of set constraints is a system of expressions EF where E and F describe sets of ground terms over a ranked alphabet. Aiken et al. [AKVW93] classified the complexity of such systems. In [AKW93] it was shown that if negative constraints EF were allowed, then the problem is decidable. This was done by reduction to a Diophantine problem, the Nonlinear Reachability Problem, which was shown to be decidable. We show that nonlinear reachability is NP-complete. By bounding the reduction of [AKW93] we conclude that systems of set constraints, allowing negative constraints, is NEXPTIME-complete.

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1993-08

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Cornell University

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computer science; technical report

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http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR93-1380

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technical report

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